This document presents a mathematical model for minimizing power losses on electric transmission lines. The model considers ohmic and corona losses. Ohmic loss is from resistance of conductors, while corona loss occurs due to ionization of air around high-voltage conductors. The model forms a nonlinear optimization problem that is minimized using classical techniques. The results show that power losses are minimized when transmission uses very low current, an operating voltage close to the critical disruptive voltage, and large spacing between conductors relative to their diameters. These findings match existing principles of efficient power transmission.